Knapp-Stein type intertwining operators for symmetric pairs II. - The translation principle and intertwining operators for spinors

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Abstract

For a symmetric pair (G, H) of reductive groups we extend to a large class of generalized principal series representations our previous construction of meromorphic families of symmetry breaking operators. These operators intertwine between a possibly vector-valued principal series of G and one for H and are given explicitly in terms of their integral kernels. As an application we give a complete classification of symmetry breaking operators from spinors on a Euclidean space to spinors on a hyperplane, intertwining for a double cover of the conformal group of the hyperplane.

Original languageEnglish
Article number084
JournalSymmetry, Integrability and Geometry: Methods and Applications
Volume15
Number of pages50
ISSN1815-0659
DOIs
Publication statusPublished - Nov 2019

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